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Finding the Fourth Proportional to 299.28, 446.80 and 273.32

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Solution

The fourth proportional to 299.28, 446.80 and 273.32 is: 408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 446.80 = 273.32 : x
  2. Step 2: Convert to fraction form
    299.28/446.80 = 273.32/x
  3. Step 3: Cross multiply
    299.28x = 446.80 × 273.32
  4. Step 4: Simplify right side
    299.28x = 122,119.38
  5. Step 5: Solve for x
    x = 122,119.38/299.28
  6. Step 6: Final answer
    x = 408.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.